2585513297 has 2 divisors, whose sum is σ = 2585513298. Its totient is φ = 2585513296.

The previous prime is 2585513263. The next prime is 2585513327. The reversal of 2585513297 is 7923155852.

2585513297 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2096174656 + 489338641 = 45784^2 + 22121^2 .

It is a cyclic number.

It is not a de Polignac number, because 2585513297 - 2⁸ = 2585513041 is a prime.

It is not a weakly prime, because it can be changed into another prime (2585513207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1292756648 + 1292756649.

It is an arithmetic number, because the mean of its divisors is an integer number (1292756649).

Almost surely, 2^2585513297 is an apocalyptic number.

It is an amenable number.

2585513297 is a deficient number, since it is larger than the sum of its proper divisors (1).

2585513297 is an equidigital number, since it uses as much as digits as its factorization.

2585513297 is an evil number, because the sum of its binary digits is even.

The product of its digits is 756000, while the sum is 47.

The square root of 2585513297 is about 50847.9428984104. The cubic root of 2585513297 is about 1372.5102354792.

The spelling of 2585513297 in words is "two billion, five hundred eighty-five million, five hundred thirteen thousand, two hundred ninety-seven".